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Finding the Third Proportional to 239,366 and 371,689

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Solution

The third proportional to 239,366 and 371,689 is: 577,160.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,366 : 371,689 = 371,689 : x
  2. Step 2: Convert to fraction form
    239,366/371,689 = 371,689/x
  3. Step 3: Cross multiply
    239,366x = 371,689 × 371,689
  4. Step 4: Simplify right side
    239,366x = 138,152,712,721
  5. Step 5: Solve for x
    x = 138,152,712,721/239,366
  6. Step 6: Final answer
    x = 577,160.97

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.